Regrouping decimal numbers
Regrouping whole numbers: 76,830
Fill in the blanks to complete the equation. So they have 76,830 is equal to 6 ten thousands plus blank thousands plus 8 hundreds plus 3 tens. So let's just think about 76,830. So if we write 76,830-- I'm going to try to color-code it. We could write this out as being the same thing as 70,000 plus 6,000-- the 7 is in the ten thousands place. So it's 7 ten thousands, which is 70,000, plus-- the 6 is in the thousands place-- so it's 6,000, or 6 thousands, one could say, plus 800. Or you could say 8 hundreds. 800 plus 3 tens, or 30. And then there's 0 ones, so we could just write that out as 0 if we like. Now, what we have on the right here is almost what they have on the right over here. Notice the 0. They didn't write that. So we can ignore that. The 0 really doesn't affect the value. We have 3 tens. We have 3 tens. Let me do this in a color you can see. You have 8 hundreds. You have 800. But then that's where it starts to break down. They have blank thousands. Here we have 6 thousands. So we're going to have to think about this a little bit. And then they have 6 ten thousands, which is 60,000. Here we have 70 thousands. So we've got to work through these two places right over here. So they have 6 ten thousands, which is the same thing as 60,000. We have 70,000. So they essentially took 10,000 from here and regrouped it someplace. And since these two places are the same, they must have regrouped it into the thousands place. So let's try to do that. So let's get rid of 10,000 out of the 70,000. It becomes 60,000. So this becomes a 6. And then we're regrouping that into the thousands place. So we're going to add 10,000 to the thousands place. Now what's the thousands place going to be then? Well, it's 10,000 plus 6,000. It's going to become 16 thousands. This right over here is going to become a 16. So now what we wrote here looks just like what they wrote up here. This is 6 ten thousands plus 16 thousands plus 8 hundreds plus 3 tens. And we're done.